The paper investigates a two-server system with a Poisson input, in which the service times on the servers have a Pareto distribution with the parameter a > 1. Using known asymptotics for the distribution of stationary waiting time, the distribution of the maximum stationary delay is obtained for two cases: p < 1 and 1 < p < 2. Estimates of the extremal index of stationary waiting time were obtained in numerical experiments using regenerative modeling.
Keywords:
stationary delay, two-server queueing system, extremal index
